Advanced Physics 2. PROBLEM 5: LAPLACE'S EQUATION Solve analytically Laplace's equation Au=0 in the square [0, 1]2 with boundary conditions u(x,0) = 0= u(0, y), u(x, 1) = u(1, y) = 1. Find an analytical expression for u(0.8,0.9). Write a simple Matlab formula eva- luating that value. Provide the code and the numerical value.

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